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3 years ago

7

In a triangle ΔABC, the median AM is extended beyond point M to point N so that MN = AM. Find the distances NB and NC, if AB = c

, and AC = b.

1 answer:

Troyanec [42]3 years ago

8 0

Answer:

it's just opposite image

nb=C, nc=b

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Which equation in slope-intercept form represents a line that passes through the point (6,−1) and is perpendicular to the line y

damaskus [11]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

If we have: $y = 2x-7$

$m_ {1} = 2\\2 * m 2 = - 1\\m_ {2} = - \frac {1} {2}$

Thus, the equation is of the form:

$y = - \frac {1} {2} x + b$

We substitute the point:

$-1 = - \frac {1} {2} (6) + b\\-1 = - \frac {1} {2} (6) + b\\-1 = -3 + b\\-1 + 3 = b\\b = 2$

Finally, the equation is:

$y = - \frac {1} {2} x + 2$

Answer:

$y = - \frac {1} {2} x + 2$

6 0

2 years ago

Ellie practices piano 2/3 h per day, several days each week. She practiced piano 32 2/3 hours during the summer. What equation c

SVEN [57.7K]

hello :)

so let me just give you the answer first:

2/3 * d = 32 2/3

here is why

so since the sentence said 2/3 PER day, then d (the number of days) multiplied by the time spent each day playing piano should give you how much time was spent in total over the certian number of days.

the 32 2/3 is just the amount of time ellie spent (as you have said)

so, this equation would be the correct one.

i hope this helped you out! please vote me for brainliest and have splendid day!

4 0

3 years ago

What fraction is greater than 4/5

sp2606 [1]

A greater fraction than 4/5 is 9/10

4 0

3 years ago

Factor completely x3 + 8x2 − 3x − 24.

Anna71 [15]

Answer:

<h2>x³ + 8x² - 3x - 24 = (x + 8)(x - √3)(x + √3)</h2>

Step-by-step explanation:

$x^3+8x^2-3x-24\\\\=(x^2)(x)+(x^2)(8)+(-3)(x)+(-3)(8)\qquad\text{distribute}\\\\=x^2(x+8)-3(x+8)\\\\=(x+8)(x^2-3)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x+8)(x^2-(\sqrt3)^2)\\\\=(x+8)(x-\sqrt3)(x+\sqrt3)$

7 0

2 years ago

Sara is 9 years younger than her brother, Michael. The sum of their ages is 47 years. How old is Sara and how old is her brother

kotykmax [81]

Answer:

Michael is 38 and Sara is 29

Step-by-step explanation:

Because it says the sum of their age is 47 you do 47-9=38 so that would be Michael's age and than because Sara is 9 years younger than him and then you would do 38-9=29

7 0

2 years ago